Question

3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is same today. The present age of the baby is

• A. 3 years
• B. 2 years
• C. $1\frac{1}{2}$ years
• D. 1 years

Answer 1

The correct option is B 2 years

Total age of the family three years ago = 17 x 5 = 85 years.
Let the present age of the child be x years.
Present total age of the family = 85 + 5 x 3 + x = (100 + x) years.
Given $\frac{100+x}{6}=17$
$\Rightarrow 100+x=102\Rightarrow x=2$ years